Question

An ideal die is thrown once. Determine the probabilities of the following events!

A: "The cube shows an even number." P (A) =

B: "The number is less than 7." P (B) =

C: "The number is 8." P (C) =

D: "It falls the 2 or the 5." P (D) =

E: "The cube shows a number less than or equal to 5." P (E) =

Q: "It's an odd or divisible number." P (F) =

Answer #1

Rolling a Die if a die is rolled one time, find these
probabilities:
a) Getting a 7.0
b) Getting an odd number
c) Getting a number less than 7.1
d) Getting a prime number ( 2,3, or 5)

A fair die is rolled. Find the probability of rolling
a. a 4
b. a 5
c. a number less than 5
d. a number greater than 4
e. a number less than 20
f. a number greater than 17
g. an odd number
h. a 4 or a 5
i. a 4 or an even number
j. a 4 and a 5
k. a 4 and an even number
l. a 4 or an odd

A fair six-sided die is tossed twice. Consider the following
events:
1. A : First toss yields an even number.
2. B : Second toss yields an odd number.
3. C : Sum of two outcomes is even.
Find P(A), P(B), P(C), P(B ∩ C), P(C|B), P(C|A ∩ B) and
P(B|C).

An ordinary (fair) die is a cube with the numbers 1 through 6 on
the sides (represented by painted spots). Imagine that such a die
is rolled twice in succession and that the face values of the two
rolls are added together. This sum is recorded as the outcome of a
single trial of a random experiment. Compute the probability of
each of the following events:
Event A: The sum is greater than 8.
Event B: The sum is an...

Consider randomly selecting a card from a standard 52 card
deck.
Define the following events A: select a 5
B: select a red card
C: select a card which has an odd number
Compute the following probabilities.
a) P(A)
b) P(C)
c) P(A or B)
d) P(A|C)
e) P(A|B)
f) P(B|A)
g) P(A and B)

A
7
-sided die with faces labeled
1
to
7
will be rolled once.
The
7
possible outcomes are listed below.
Note that each outcome has the same probability.Complete parts (a)
through (c). Write the probabilities as fractions.
(a) Check the outcomes for each event below. Then, enter the
probability of the event.
Outcomes
Probability
1
2
3
4
5
6
7
Event A: Rolling a number from
5
to
6
Event B: Rolling an even number
Event A and...

A number between 1 and 10 is chosen. Events A,
B, C, and D are defined as follows.
A: {The number is even}
B: {The number is less than 7}
C: {The number is less than or equal to 7}
D: {The number is 5}
Identify all events that are mutually exclusive.
Select one:
a. C and D
b. None of the other answers
c. A and B
d. A and C
e. B and D

You roll a six-sided die. Find the probability of each of the
following scenarios.
(a) Rolling a 6 or a number greater than 3
(b) Rolling a number less than 5 or an even number
(c) Rolling a 4 or an odd number

Determine the possible ways the following events can occur.
Then, determine their probabilities
(a) Rolling a 6 OR a 9
b) Rolling a 3 OR 5 OR 7
c) Rolling an Even AND a multiple of 5
d) Rolling a Multiple of 3 AND a multiple of 4
two, six sided dice are rolled

You roll a six-sided die. Find the probability of each of the
following scenarios.
(a) Rolling a
55
or a number greater than 33(b) Rolling a number less than
44
or an even number(c) Rolling a
44
or an odd number
(a)
P(55
or
numbergreater than>33)equals=nothing
(Round to three decimal places as needed.)

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